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Proving Consistency of Pure Methods and Model Fields
[chapter]

2009
*
Lecture Notes in Computer Science
*

Introduction

doi:10.1007/978-3-642-00593-0_16
fatcat:fexoaqeu7vbvvo6gjv3yf4jf4y
*Pure**methods**and**model**fields*[1,2] are useful*and*common specification constructs. ...*Pure**methods**and**model**fields*are useful*and*common specification constructs that can be interpreted by the introduction*of*axioms in a program verifier's underlying proof system. ...*Model**Fields*.*Model**fields*introduce similar problems. A*model**field*gives a way to hide details*of*an object's concrete state. ...##
###
Reasoning About Method Calls in Interface Specifications

2006
*
Journal of Object Technology
*

We present a sound encoding that allows side-effect free

doi:10.5381/jot.2006.5.5.a3
fatcat:bvnorouwcndt7o7ud3qyxmyx6i
*methods*to create*and*initialize objects by explicitly*modeling*such modifications*of*the heap. ... Interface specifications in languages such as Eiffel, the Java*Modeling*Language (JML),*and*Spec# are based on side-effect free expressions*of*the programming language. ... That is,*model**field*accesses are weakly-*pure**and*lead to the same problems as weakly-*pure**methods*. In the rest*of*the paper, we focus on*methods*, but our results are also applicable to*model**fields*. ...##
###
Faithful mapping of model classes to mathematical structures

2007
*
Proceedings of the 2007 conference on Specification and verification of component-based systems 6th Joint Meeting of the European Conference on Software Engineering and the ACM SIGSOFT Symposium on the Foundations of Software Engineering - SAVCBS '07
*

This shows that

doi:10.1145/1292316.1292320
dblp:conf/sigsoft/DarvasM07
fatcat:4oiv2ecudncqzjnwuey4kg7uli
*proving*faithfulness*of*mappings helps in writing better specifications for*model*classes by making them*consistent**and*complete. ...*Consistency*means that everything that can be*proved*using the contracts*of*the*model*class can also be*proved*using the corresponding structure*of*the theorem prover. ... One can specify SingletonSet's*method*setValue in an abstract way (that is, without referring to the private*field*value) using*model**field*set*and*JMLObjectSet's*pure**method*has, which checks for set ...##
###
Automatic verification of Java programs with dynamic frames

2010
*
Formal Aspects of Computing
*

Framing in the presence

doi:10.1007/s00165-010-0148-1
fatcat:6esc7j5w3raf3nqsn2ab7do3xi
*of*data abstraction is a challenging*and*important problem in the verification*of*object-oriented programs [LLM07] . ... The prototype has been used to*prove*correctness*of*several programming patterns considered challenging in related work. ... A program*consists**of*a number*of*classes*and*a main routine s. Each class declares a number*of**fields**and**methods*. We distinguish two kinds*of**methods*: mutators*and**pure**methods*. ...##
###
Page 2858 of Mathematical Reviews Vol. , Issue 81G
[page]

1981
*
Mathematical Reviews
*

Frohlich who

*proved*that confinement in a lattice Higgs theory (*and*in particu- lar in a*pure*Yang-Mills lattice theory) with a compact Lie group G as a gauge group is implied by confinement in a*pure*... The authors investigate the problem*of*anomalies*and*renormali- zations in quantum*field*theory in the single-loop approximation by the*methods**of*the theory*of*elliptic operators. ...##
###
Page 2324 of Mathematical Reviews Vol. , Issue 2003d
[page]

2003
*
Mathematical Reviews
*

Dynamical

*proving*belongs to first order*model*theory. ... Dynamical proofs are used to study effective versions*of*Nullstel- lensdtze*and*Positivstellensétze in the context*of**fields*, ordered*fields*, valued*fields**and*ordered abelian groups. ...##
###
Page 5796 of Mathematical Reviews Vol. , Issue 92j
[page]

1992
*
Mathematical Reviews
*

A

*consistent*canonical quantization formulation*of*the chiral Schwinger*model*(CSM) is developed. Dirac’s*method*for con- strained systems with Grassmann variables is used to quantize the*model*. ... The quantum Hamiltonian*consistent*with the modified Gauss law constraint is constructed by a redefinition*of*canonical variables without introduction*of*auxiliary*fields*into the*model*. ...##
###
VeriCool: An Automatic Verifier for a Concurrent Object-Oriented Language
[chapter]

2008
*
Lecture Notes in Computer Science
*

In addition, we combine the

doi:10.1007/978-3-540-68863-1_14
fatcat:hmhy6tdywjekbhd7a7dkyzyzmm
*model*with an approach for data abstraction*and*framing based on dynamic frames. ... Compared to previous incarnations*of*the programming*model*, our approach is more flexible in describing the set*of*memory locations protected by an object's lock. ... To*prove*that a state change (i.e.*field*update or non-*pure**method*invocation) does not affect the return value*of*a*pure**method*, one has to show that the footprint*of*the state change is disjoint from ...##
###
Page 7838 of Mathematical Reviews Vol. , Issue 96m
[page]

1996
*
Mathematical Reviews
*

A great part

*of*this paper is dedicated to*proving*this equivalence between the*purely*quantum formulation*and*the stochastic one. ... This selection procedure does not follow from the properties*of*the self-*consistent**field*equations, but rather from some many- particle problem which yields the self-*consistent**field*equations themselves ...##
###
Implicit Dynamic Frames: Combining Dynamic Frames and Separation Logic
[chapter]

2009
*
Lecture Notes in Computer Science
*

From the precondition, one can then infer an upper bound on the set

doi:10.1007/978-3-642-03013-0_8
fatcat:jmvxsyoiqbfanaatmpzurlx2ge
*of*locations writable or readable by the corresponding*method*. ... Reminiscent*of*separation logic's frame rule, programmers write access assertions inside pre-*and*postconditions instead*of*writing frame annotations. ... In the universe type system [28]*and*the Boogie methodology [29] , abstractions (*pure**methods*, invariants or*model**fields*) can depend on the*fields**of*owned objects*and*the*fields**of*peers (i.e. objects ...##
###
Proving Consistency and Completeness of Model Classes Using Theory Interpretation
[chapter]

2010
*
Lecture Notes in Computer Science
*

Crucial to the soundness

doi:10.1007/978-3-642-12029-9_16
fatcat:zlnrl2xsf5dgboz5nz5x7y4j2e
*of*this technique is the existence*of*a semantic correspondence between the*model*class*and*the related structure. ... The framework provides a systematic way*of*determining the necessary proof obligations*and*justifies the soundness*of*the approach. ... Leavens,*and*the anonymous reviewers for helpful comments. This work was funded in part by the IST-2005-015905 MO-BIUS project. ...##
###
Using the Spec# Language, Methodology, and Tools to Write Bug-Free Programs
[chapter]

2010
*
Lecture Notes in Computer Science
*

Finally, the tool support

doi:10.1007/978-3-642-13010-6_4
fatcat:xtwxi2iyyjevlna5loahv3oi54
*consists**of*a compiler that emits run-time checks for many contracts*and*a static program verifier that attempts to*prove*automatically that an implementation satisfies its specification ... Spec# is a programming system for the development*of*correct programs. It*consists**of*a programming language, a verification methodology,*and*tools. ... Acknowledgments We are grateful to Rosemary Monahan*and*Valentin Wüstholz for the extensive feedback on drafts*of*this tutorial. ...##
###
Page 7042 of Mathematical Reviews Vol. , Issue 97K
[page]

1997
*
Mathematical Reviews
*

*methods*for spatial-temporal decomposition

*of*random

*fields*. ... We give examples which show the necessity

*of*employing weight functions in order to have (a)

*and*(b),

*and*

*prove*the optimality

*of*the weight function classes which we make use

*of*. ...

##
###
Page 4031 of Mathematical Reviews Vol. , Issue 91G
[page]

1991
*
Mathematical Reviews
*

Summary: “We propose a general scheme for constructing an ac- tion principle for arbitrary

*consistent*overdetermined systems*of*nonlinear*field*equations. ... Gauge*fields*can have*purely*global dynamical degrees*of*freedom. This paper shows that suppression*of*local gauge excitations also occurs in quantized gauge theories coupled to chiral fermions. ...##
###
Book Review: Model theoretic algebra: Selected topics

1977
*
Bulletin of the American Mathematical Society
*

Not all

doi:10.1090/s0002-9904-1977-14333-4
fatcat:mjd46pp2qnfmxmgua2evpoqa2m
*of*the results presented are applications*of**model*theory to algebra in the strict sense that they are theorems expressed in conventional algebraic terms*and**proved*by*model*-theoretic*methods*; ... Here,*model*theory sheds light on the notions*of*injective*and**pure*-injective*and*gives a central position to an algebraic condition, weaker than noetherian, called coherence. ...
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