Polymorphic Intersection Type Assignment for Rewrite Systems with Abstraction and β-Rule [chapter]

Steffen van Bakel, Franco Barbanera, Maribel Fernández
<span title="">2000</span> <i title="Springer Berlin Heidelberg"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/2w3awgokqne6te4nvlofavy5a4" style="color: black;">Lecture Notes in Computer Science</a> </i> &nbsp;
We define two type assignment systems for first-order rewriting extended with application, -abstraction, and -reduction (TRS ). The types used in these systems are a combination of ( -free) intersection and polymorphic types. The first system is the general one, for which we prove a subject reduction theorem and show that all typeable terms are strongly normalisable. The second is a decidable subsystem of the first, by restricting types to Rank 2. For this system we define, using an extended
more &raquo; ... ion of unification, a notion of principal type, and show that type assignment is decidable.
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/3-540-44557-9_3">doi:10.1007/3-540-44557-9_3</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/fweecy2czbbkzgk4b7r4vdpcey">fatcat:fweecy2czbbkzgk4b7r4vdpcey</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170829145248/http://www.doc.ic.ac.uk/~svb/Research/Papers/Types.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/77/8a/778a1454ac0f0acb7d85958ebc464f55f39e21c6.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/3-540-44557-9_3"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> springer.com </button> </a>