A Meta Linear Logical Framework
نویسندگان
چکیده
منابع مشابه
A Meta Linear Logical Framework
Over the years, logical framework research has produced various type theories designed primarily for the representation of deductive systems. Reasoning about these representations requires expressive special purpose meta logics, that are in general not part of the logical framework. In this work, we describe Lω , a meta logic for the linear logical framework LLF [CP96] and illustrate its use vi...
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syntax Concrete syntax Kinds type type x :A:K {x:A}K A -> K K Types A&B; A & B A B A -o B B oA x :A:B {x:A}B A -> B B M Objects sndM M ̂x :A:M [x^A]M M^N M ^ N x :A:M [x:A]M M N M N The next table gives the relative precedence and associativity of these operators. As in Elf, parentheses are available to override these behaviors. Precedence Oper...
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We present the linear type theory ?&> as the formal basis for LLF, a conservative extension of the logical framework LF. LLF combines the expressive power of dependent types with linear logic to permit the natural and concise representation of a whole new class of deductive systems, namely those dealing with state. As an example we encode a version of Mini-ML with mutable references including i...
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Twelf is a meta-logical framework for the specification, implementation, and meta-theory of deductive systems from the theory of programming languages and logics. It relies on the LF type theory and the judgments-as-types methodology for specification [HHP93], a constraint logic programming interpreter for implementation [Pfe91], and the meta-logic M2 for reasoning about object languages encode...
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ژورنال
عنوان ژورنال: Electronic Notes in Theoretical Computer Science
سال: 2008
ISSN: 1571-0661
DOI: 10.1016/j.entcs.2007.11.016