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AVATAR Modulo Theories

Giles Reger, Nikolaj Bjorner, Martin Suda, Andrei Voronkov
unpublished
Traditionally, first-order theorem provers (ATPs) are well suited to reasoning with first-order problems containing many quantifiers and satisfiability modulo theories (SMT) solvers are well suited to  ...  This work extends the AVATAR approach to use a SMT solver in place of the SAT solver, with the effect that the first-order solver only needs to consider ground-theory-consistent sub-problems.  ...  This could be viewed as an SMT solver for this particular theory (see [34] ). AVATAR Modulo Theories AVATAR [24, 34] is based on the concept of splitting.  ... 
doi:10.29007/k6tp fatcat:uqygausnrfam7b23cgikotmhjq

EPiC Series in Computing AVATAR Modulo Theories

Nikolaj Bjøner, Giles Reger, Martin Suda, Andrei Voronkov
2016 Pages 39-52 GCAI 2016. 2nd Global Conference on Artificial Intelligence   unpublished
Traditionally, first-order theorem provers (ATPs) are well suited to reasoning with first-order problems containing many quantifiers and satisfiability modulo theories (SMT) solvers are well suited to  ...  This work extends the AVATAR approach to use an SMT solver in place of a SAT solver, with the effect that the first-order solver only needs to consider ground-theory-consistent sub-problems.  ...  This could be viewed as an SMT solver for this particular theory (see [34] ). AVATAR Modulo Theories AVATAR [24, 34] is based on the concept of splitting.  ... 
fatcat:jm22pbggzjaglmnxbonhnvumoi

Unification with Abstraction and Theory Instantiation in Saturation-Based Reasoning [chapter]

Giles Reger, Martin Suda, Andrei Voronkov
2018 Lecture Notes in Computer Science  
The first rule utilises theory constraint solving (an SMT solver) to perform reasoning within a clause to find an instance where we can remove one or more theory literals.  ...  This utilises the power of SMT solvers for theory reasoning with non-ground clauses, reasoning which is currently achieved by the addition of often prolific theory axioms.  ...  AVATAR Modulo Theories. Our previous work on AVATAR Modulo Theories [21] uses the AVATAR architecture [23, 34] for clause splitting to integrate an SMT solver with a superposition prover.  ... 
doi:10.1007/978-3-319-89960-2_1 fatcat:qmvu5nhrdzdevgqlyq7eckcplu

The relativistic avatars of giant magnons and their S-matrix

Timothy J. Hollowood, J. Luis Miramontes
2010 Journal of High Energy Physics  
space sine-Gordon theory.  ...  We argue that the internal CP^n-1 moduli space of collective coordinates of the solitons in the classical theory can be interpreted as a q-deformed fuzzy space in the quantum theory.  ...  The equivalence between the gauged fixed worldsheet theory and the SSSG theory is a classical equivalence in which the non-relativistic magnons map to a relativistic soliton "avatar" in the SSSG theory  ... 
doi:10.1007/jhep10(2010)012 fatcat:rxacoagngnfs7kln3i6q2t4yi4

Teoria de autodeterminação utilizada em mundos virtuais, um estudo de caso

Fabiana Santiago Sgobbi, Liane Margarida Rockenbach Tarouco
2018 RENOTE  
É importante ressaltar que a capacidade de personalizar seu avatar e usá -lo para interagir com outras pessoas e entidades, enseja uma nova forma de fazer valer a Módulo do Ambiente 2 (sala de vídeo) -  ...  Módulo Ambiente 4 (academia de ginástica)este local foi povoado por avatares com biótipos de aparências físicas variadas sem predominância de figuras excessivamente esbeltas, buscando controle de obesidade  ... 
doi:10.22456/1679-1916.89280 fatcat:pcgfka5rzjhobchwvu6coejkue

Superposition with Structural Induction [chapter]

Simon Cruanes
2017 Lecture Notes in Computer Science  
Several inductive goals can be attempted within a single saturation loop, by leveraging AVATAR [1] .  ...  Lemmas obtained by generalization or theory exploration can be introduced during search, used, and proved, all in the same search space.  ...  Introduction Superposition-based theorem provers and SMT (Satisfiability Modulo Theory) solvers have considerably improved automation in some proof assistants thanks to hammers [2, 3] .  ... 
doi:10.1007/978-3-319-66167-4_10 fatcat:jzgkbftdsvdsthbtkxg4ipmeqm

A realidade virtual e aumentada dedicada ao processo ensino-aprendizagem de física: socialização da concepção e validação do aplicativo RVA_360 – Momento Angular

Carlos França, Tatiana Da Silva
2020 Revista Brasileira de Ensino de Ciência e Tecnologia  
Os avatares, os módulos da ferramenta e todas interações entre as cenas que compõem a mesma foram feitas em C# (C sharp) que é uma linguagem de programação adotada pela versão gratuita da Unity 3d.  ...  Figura 7 -Imersão total com oculus rift e a aproximação dos avatares.  ... 
doi:10.3895/rbect.v13n1.9101 fatcat:nvlgwfttmfhvbebdimqkz2mccu

A BRST operator for non-critical W-strings

M. Bershadsky, W. Lerche, D. Nemeschansky, N.P. Warner
1992 Physics Letters B  
In fact, the BRST current is almost invariant under the interchange of the matter and Liouville systems, modulo conjugation.  ...  Each tachyonic vertex operator (3.8) can be mapped to representatives, or "avatars", in other W -pictures. Each tachyon will have avatars with at least ghost numbers 0, 1, 2 and 3.  ... 
doi:10.1016/0370-2693(92)90605-4 fatcat:l2zmnjrlqjb3nlxuhmlikp23je

Remarques sur l'invariant mu d'Iwasawa dans le cas CM

Roland Gillard
1991 Séminaire de Théorie des Nombres de Bordeaux  
Théorie de Sinnott.  ...  Hida montrant l'existence d'un lien entre la théorie des q-développements et l'étude de l'invariant mu d 'Iwasawa. 1.  ... 
doi:10.5802/jtnb.39 fatcat:icqqx6qsmnculdshho2pwpa6sq

A BRST Operator for non-critical W-Strings [chapter]

M. Bershadsky, W. Lerche, D. Nemeschansky, N.P. Warner
1995 W-Symmetry  
In [16] a BRST charge was constructed for critical W 3 -string theory, that is, for pure W 3 -matter; nilpotency of Q BRST requires that the matter central charge must satisfy: c M = 100.  ...  In fact, the BRST current is almost invariant under the interchange of the matter and Liouville systems, modulo conjugation.  ...  Each tachyonic vertex operator (3.8) can be mapped to representatives, or "avatars", in other W -pictures. Each tachyon will have avatars with at least ghost numbers 0, 1, 2 and 3.  ... 
doi:10.1142/9789812798244_0037 fatcat:c6kxeetj4zbwlclipwawedwjsq

Functional Equation for p-adic Rankin-Selberg L-functions [article]

Kazim Buyukboduk, Antonio Lei
2019 arXiv   pre-print
Suppose Ξ = χΨ is a Hecke character where Ψ ∈ Σ + and χ is a ring class character modulo f.  ...  For q = p, p c , we let Ω q denote the maximal pro-p quotient of the ray class group modulo q ∞ .  ... 
arXiv:1707.00557v3 fatcat:r7trq6sokvanzc7w2lomcvhgze

Layered Clause Selection for Saturation-based Theorem Proving

Bernhard Gleiss, Martin Suda
2020 Zenodo  
for clause selection (tracking relatedness to the goal, the number of split dependencies in the AVATAR architecture, and closeness to the Horn fragment, respectively).  ...  In this work, we investigate this framework in depth and introduce, in addition to a previously presented feature (based on the amount of theory reasoning in the derivation of a clause), three new features  ...  of theory reasoning.  ... 
doi:10.5281/zenodo.4584799 fatcat:gzosonxhsbgi3pmxeme6expmzq

Safe Reinforcement Learning Using Probabilistic Shields (Invited Paper)

Nils Jansen, Bettina Könighofer, Sebastian Junges, Alex Serban, Roderick Bloem, Igor Konnov, Laura Kovács
2020 International Conference on Concurrency Theory  
(v, . . . , v i , .. . , i > 0) (an adversary moves next), there is a unique action α 0 where v i is changed to v i , randomly determined according to the behavior B i , which also updates i to i + 1 modulo  ...  Consequently, a policy for M is a policy for the avatar. Definition 5 ( 5 Action-valuation).  ... 
doi:10.4230/lipics.concur.2020.3 dblp:conf/concur/0001KJSB20 fatcat:tzfcbfjalnekfdclxw765oc23u

Making Theory Reasoning Simpler [chapter]

Giles Reger, Johannes Schoisswohl, Andrei Voronkov
2021 Lecture Notes in Computer Science  
This resulted in four further simplification rules for theory reasoning.  ...  AbstractReasoning with quantifiers and theories is at the core of many applications in program analysis and verification.  ...  AVATAR modulo theories [16] uses an SMT solver within the context of clause splitting to ensure that the ground part of any chosen clause splits are theory-consistent.  ... 
doi:10.1007/978-3-030-72013-1_9 fatcat:scvyq5encvhmbib3e437pij4g4

Post-Classicism in Tree Amplitudes [article]

K.G.Selivanov
1999 arXiv   pre-print
Clearly, solution of this type exists and is unique (in gauge theories it is unique after a gauge fixing, or, equivalently, it is unique modulo gauge transformations), provided the operator on r.h.s. of  ...  Perhaps, this opens a perspective to find Yang-Mills avatars of the many known quantum exact results in sin(h)-Gordon.  ... 
arXiv:hep-th/9905128v1 fatcat:tzseh2co6ve5xintykkfqkhrgy
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