Join inverse categories and reversible recursion
نویسندگان
چکیده
منابع مشابه
Join inverse categories and reversible recursion
Recently, a number of reversible functional programming languages have been proposed. Common to several of these is the assumption of totality, a property that is not necessarily desirable, and certainly not required in order to guarantee reversibility. In a categorical setting, however, faithfully capturing partiality requires handling it as additional structure. Recently, Giles studied invers...
متن کاملJoin Inverse Categories as Models of Reversible Recursion
Recently, a number of reversible functional programming languages have been proposed. Common to several of these is the assumption of totality, a property that is not necessarily desirable, and certainly not required in order to guarantee reversibility. In a categorical setting, however, faithfully capturing partiality requires handling it as additional structure. Recently, Giles studied invers...
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A recursion category is locally connected if connected domains are jointly epimorphic. New proofs of the existence of non-complemented and recursively inseparable domains are given in a locally connected category. The use of local connectedness to produce categorical analogs of undecidable problems is new; the approach allows us to relax the hypotheses under which the results were originally pr...
متن کاملTR-2006011: Locally Connected Recursion Categories
A recursion category is locally connected if connected domains are jointly epimorphic. New proofs of the existence of non-complemented and recursively inseparable domains are given in a locally connected category. The use of local connectedness to produce categorical analogs of undecidable problems is new; the approach allows us to relax the hypotheses under which the results were originally pr...
متن کاملFinite Inverse Categories as Signatures
We define a simple dependent type theory and prove that its wellformed types correspond exactly to finite inverse categories.
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ژورنال
عنوان ژورنال: Journal of Logical and Algebraic Methods in Programming
سال: 2017
ISSN: 2352-2208
DOI: 10.1016/j.jlamp.2016.08.003