Results 31 to 40 of about 83,510 (168)
The paper contains, in reverse order, (A) a substantial contribution to proof theory, and (B) speculations on using proofs as parts of programs, interspersed by (C) diverse relations to the (logical) literature. Here are a few samples from this, at least, for the reviewer, very readable paper.
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Linear Temporal Logic for Regular Cost Functions [PDF]
Regular cost functions have been introduced recently as an extension to the notion of regular languages with counting capabilities, which retains strong closure, equivalence, and decidability properties.
Denis Kuperberg
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Linear logic as a logic of computations
The author gives a complete computational interpretation of several initial fragments of linear logic and, based on this interpretation, establishes precisely the complexity level of these fragments. He begins with the !-Horn fragment of linear logic, which uses only positive literals, the linear implication, the tensor product \(\otimes\) and the ...
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Linear Logical Algorithms [PDF]
Bottom-up logic programming can be used to declaratively specify many algorithms in a succinct and natural way, and McAllester and Ganzinger have shown that it is possible to define a cost semantics that enables reasoning about the running time of algorithms written as inference rules.
Robert J. Simmons, Frank Pfenning
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A note on the expressive power of linear orders [PDF]
This article shows that there exist two particular linear orders such that first-order logic with these two linear orders has the same expressive power as first-order logic with the Bit-predicate FO(Bit). As a corollary we obtain that there also exists a
Thomas Schwentick, Nicole Schweikardt
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A many-valued modal logic, called linear abelian modal logic \(\rm {\mathbf{LK(A)}}\) is introduced as an extension of the abelian modal logic \(\rm \mathbf{K(A)}\). Abelian modal logic \(\rm \mathbf{K(A)}\) is the minimal modal extension of the logic of
Hamzeh Mohammadi
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This paper draws the main ``boulevards'' of a logical approach to complexity, based on the idea that the expressive power of a logical system is the complexity of its cut-elimination procedure. A very careful handling of Linear Logic (LL) exponentials leads the author to define a weak LL (the ``Light Linear Logic'' LLL), for which he proves the ...
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Visibly linear dynamic logic [PDF]
We introduce Visibly Linear Dynamic Logic (VLDL), which extends Linear Temporal Logic (LTL) by temporal operators that are guarded by visibly pushdown languages over finite words. In VLDL one can, e.g., express that a function resets a variable to its original value after its execution, even in the presence of an unbounded number of intermediate ...
Alexander Weinert +1 more
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Automata Linear Dynamic Logic on Finite Traces [PDF]
Temporal logics are widely used by the Formal Methods and AI communities. Linear Temporal Logic is a popular temporal logic and is valued for its ease of use as well as its balance between expressiveness and complexity.
Kevin W. Smith, Moshe Y. Vardi
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Contradictory Perspectives on Academic Support: Beyond Linear Logic
This paper employs a Square of Opposition as an interpretivist heuristic device in order to interrogate perceptions of academic support. The Square of Opposition is used to move beyond binary explanations of academic development subsumed within learner ...
Fiona Hallett
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