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The Many-Sorted First Order Calculus

Encoding TLA+ into Many-Sorted First-Order Logic

Encoding TLA+ into Many-Sorted First-Order Logic

... on first-order reasoning and rewriting; Zenon, a tableau prover for first-order logic with equality that includes extensions for reasoning about sets and functions; and a decision procedure ...

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Encoding TLA+ into unsorted and many-sorted first-order logic

Encoding TLA+ into unsorted and many-sorted first-order logic

... The first item is particularly challenging for our objectives: whereas an untyped language like TLA + is very expressive and flexible for writing speci- fications, automated reasoners rely on types for good ...

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A Resolution Calculus for First-order Schemata

A Resolution Calculus for First-order Schemata

... (meaning that n must be distinct from 0, 1 and 2). If one adds to this set the clause n 6≈ s(s(s(x))) (i.e. n < 3), one gets an s-unsatisfiable set of purely equational clauses. The unsatisfiability of this set can be ...

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Quine's Conjecture on Many-Sorted Logic

Quine's Conjecture on Many-Sorted Logic

... finitely many sorts, there is a Morita equivalent single-sorted theory T b ...this. First, in capturing the sense in which Quine’s conjecture is true, one relies on Morita equivalence, a standard of ...

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A Concise Sequent Calculus for Teaching First-Order Logic

A Concise Sequent Calculus for Teaching First-Order Logic

... [4] Asta Halkjær From, Alexander Birch Jensen, Anders Schlichtkrull, and Jørgen Villadsen. Teaching a Formalized Logical Calculus. In Proceedings of the 8th International Workshop on Theorem proving components for ...

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Paraconsistent Differential Calculus (Part I): First Order Paraconsistent Derivative

Paraconsistent Differential Calculus (Part I): First Order Paraconsistent Derivative

... Differential Calculus using the foundations of Paraconsistent Logic applied to the Newton’s ...Differential Calculus to the Paraconsistent Logical Model made the contradictions existing in the Differential ...

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DLS-Forgetter: An Implementation of the DLS Forgetting Calculus for First-Order Logic

DLS-Forgetter: An Implementation of the DLS Forgetting Calculus for First-Order Logic

... of first-order logic formulae via semantic ...has many applications such as information hiding, explanation generation and computing logical ...a first-order Ackermann calculus, ...

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Uncountably many solutions of first order neutral nonlinear differential equations

Uncountably many solutions of first order neutral nonlinear differential equations

... Abstract The article deals with the existence of uncountably many positive solutions which are bounded below and above by positive functions for the first-order nonlinear neutral differential equations. Some ...

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Transcendental Meromorphic Functions Whose First Order Derivatives Have Finitely Many Zeros

Transcendental Meromorphic Functions Whose First Order Derivatives Have Finitely Many Zeros

... Conjecture 2: Let g be a transcendental meromorphic function in  . Suppose that g ′ does not have zeros. Then there exist a sequence { } z n n ∞ = 1 of fixed points of g such that g z ′ ( ) n → ∞ . Bergweiler [1] has ...

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RPO, Second-order Contexts, and λ-calculus

RPO, Second-order Contexts, and λ-calculus

... Abstract. We apply Leifer-Milner RPO approach to the λ-calculus, en- dowed with lazy and call by value reduction strategies. We show that, contrary to process calculi, one can deal directly with the ...

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Higher-order Lazy Narrowing Calculus: a Solver for Higher-order Equations

Higher-order Lazy Narrowing Calculus: a Solver for Higher-order Equations

... 1 Introduction Proving, solving and computing are the essence of mathematicians’ activities [2]. Correspondingly, modern programmers’ role can be thought of as automating proving, solving and computing by defining ...

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Fractional Order Variational Calculus with Generalized Boundary Conditions

Fractional Order Variational Calculus with Generalized Boundary Conditions

... Fractional calculus is one of the generalizations of the classical ...started. Many applications of fractional calculus can be found in turbulence and fluid dynamics, stochastic dynamical system, ...

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First-Order Stable Model Semantics and First-Order Loop Formulas

First-Order Stable Model Semantics and First-Order Loop Formulas

... Lin and Wang (2008) extended answer set semantics with functions by extending the definition of a reduct, and also provided loop formulas for such programs. We can provide an alternative account of their results by ...

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Students’ Misconceptions of the Limit Concept in a First Calculus Course

Students’ Misconceptions of the Limit Concept in a First Calculus Course

... Abstracts Misconceptions of the limit concept were examined in 130 pre-engineering students in Dilla Universities. Questionnaire and Interview were deigned to explore students understanding of the idea of a limit of a ...

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MATH 221 FIRST SEMESTER CALCULUS. fall 2007

MATH 221 FIRST SEMESTER CALCULUS. fall 2007

... VIII. Applications of the integral The integral appears as the answer to many different questions. In this chapter we will describe a number of “things which are an integral.” In each example there is a quantity ...

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MATH 221 FIRST SEMESTER CALCULUS. fall 2009

MATH 221 FIRST SEMESTER CALCULUS. fall 2009

... in order to use it for manuals for free software, because free software needs free documentation: a free program should come with manuals providing the same freedoms that the software ...

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Dynamics and Secure Information Flow for a Higher-Order Pi-Calculus

Dynamics and Secure Information Flow for a Higher-Order Pi-Calculus

... in many kinds of programming languages and paradigms — imperative or functional, sequential or parallel, ...have many different constructs, which makes information flow analysis much more complicated than in ...

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A polynomial-time algorithm for the Lambek calculus with brackets of bounded order

A polynomial-time algorithm for the Lambek calculus with brackets of bounded order

... research. First, Pentus [35] also presents a parsing procedure for Lambek categorial ...our calculus we allow empty ...Lambek calculus, using a modified notion of proof nets (see for example ...

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First results from insemination with sex-sorted semen in dairy heifers in Macedonia

First results from insemination with sex-sorted semen in dairy heifers in Macedonia

... sex sorted semen, in order to increase the number of internally raised ...the first inseminations using sex sorted semen in dairy heifers in ...

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Tablet technology in first year calculus and linear algebra teaching

Tablet technology in first year calculus and linear algebra teaching

... “it may become appropriate to require students at a distance to purchase such devices in order to better interact with the instructor” [6]. Literature on the effectiveness of tablet technology for mathematics ...

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