Denotation of contextual modal type theory (CMTT): Syntax and meta-programming
نویسندگان
چکیده
منابع مشابه
Denotation of contextual modal type theory (CMTT): Syntax and meta-programming
The modal logic S4 can be used via a Curry-Howard style correspondence to obtain a λcalculus. Modal (boxed) types are intuitively interpreted as ‘closed syntax of the calculus’. This λ-calculus is called modal type theory — this is the basic case of a more general contextual modal type theory, or CMTT. CMTT has never been given a denotational semantics in which modal types are given denotation ...
متن کاملDenotation of syntax and metaprogramming in contextual modal type theory (CMTT)
The modal logic S4 can be used via a Curry-Howard style correspondence to obtain a λcalculus. Modal (boxed) types are intuitively interpreted as ‘closed syntax of the calculus’. This λ-calculus is called modal type theory — this is the basic case of a more general contextual modal type theory, or CMTT. CMTT has never been given a denotational semantics in which modal types are given denotation ...
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When one develops, implements, and studies type theories based on linear logic, for example, in the context of theorem proving, logic programming, and formal reasoning, one is immediately confronted with questions about their equational theory and how to deal with logic variables. In this paper, we propose linear contextual modal type theory that gives a mathematical account of the nature of lo...
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Meta-programming with Concrete Object Syntax
Meta programs manipulate structured representations, i.e., abstract syntax trees, of programs. The conceptual distance between the concrete syntax meta-programmers use to reason about programs and the notation for abstract syntax manipulation provided by general purpose (meta-) programming languages is too great for many applications. In this paper it is shown how the syntax definition formalis...
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ژورنال
عنوان ژورنال: Journal of Applied Logic
سال: 2013
ISSN: 1570-8683
DOI: 10.1016/j.jal.2012.07.002