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Binary image algebra representations of optical cellular logic and symbolic substitution
Annual Meeting Optical Society of America, 1987Binary image algebra (BIA) provides a systematic mathematical formalism for both digital optical cellular logic and symbolic substitution processors, in addition to being a unified theory of parallel binary image processing.1 Cellular logic operations ...
Kung-Shiuh Huang+2 more
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The Millennium Development Goals and Education: Accountability and Substitution in Global Assessment
International Organization, 2019Precise international metrics and assessments may induce governments to alter policies in pursuit of more favorable assessments according to these metrics. In this paper, we explore a secondary effect of global performance indicators (GPIs).
J. Bisbee+3 more
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Dataflow for logic program as substitution manipulator
Proceedings of the international symposium on Symbolic and algebraic computation, 1990This paper shows a method of constructing a dataflow, which denotes the deductions of a logic program, by means of a sequence domain based on equivalence classes of substitutions. The dataflow involves fair merge functions to represent unions of atom subsets over a sequence domain, as well as functions as manipulations of unifiers for the deductions of
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IEEE Transactions on Very Large Scale Integration (VLSI) Systems, 2022
Jun-Sheng Ng+4 more
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Jun-Sheng Ng+4 more
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A method of epsilon substitution for the predicate logic with equality
Journal of Mathematical Sciences, 1997The method of epsilon substitution for arithmetic proposed by Hilbert proceeds by a series of finite approximations ``from below'' to a solution of a fixed system of critical formulas. Ackermann applied the method also to the first order predicate logic with equality and extensionality formalized in terms of the epsilon symbol, which however proceeds ``
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On detachment-substitutional formalization in normal modal logics
Studia Logica, 1977The aim of this paper is to propose a criterion of finite detachment-substitutional formalization for normal modal systems. The criterion will comprise only those normal modal systems which are finitely axiomatizable by means of the substitution, detachment for material implication and Godel rules.
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Identity in Mares-Goldblatt Models for Quantified Relevant Logic
Journal of Philosophical Logic, 2021Shawn Standefer
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On the equivalence of deferred substitution and immediate substitution semantics for Logic Programs
1991The paper considers a deferred substitution semantics for Logic Programs, in which both the composition of computed substitutions and their application to atoms in the current goal are deferred. This kind of semantics occurs in several interpreter optimization contexts: Prolog implementation optimization.
Nissim Francez, Oded Shmueli, Amir Rahat
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The substitution interpretation in topological logic [PDF]
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Duality for Compact Logics and Substitution in Abstract Model Theory
Mathematical Logic Quarterly, 1985Using no special set-theoretical hypothesis we prove the following, for arbitrary logics L and M generated by a set of quantifiers: (i) If L is compact and \(\equiv_ L=\equiv_ M\), then L and M are equivalent. (ii) if \(L\subseteq M\), then there is the largest logic \(L^+\) such that \(L^+\subseteq M\) and \(\equiv_{L^+}=\equiv_ L.\) We also find an ...
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