scholarly journals A Model Guided Instantiation Heuristic for the Superposition Calculus with Theories

10.29007/b923 ◽  
2018 ◽  
Author(s):  
Joshua Bax
Keyword(s):  
Theorem Proving ◽  
Partial Function ◽  
Simplifying Assumptions ◽  
Model Finding ◽  
Free Function ◽  
Quantifier Instantiation ◽  
Superposition Calculus

Generalised Model Finding (GMF) is a quantifier instantiation heuristic for the superposition calculus in the presence of interpreted theories with arbitrarily quantified free function symbols ranging into theory sorts.The free function symbols are approximated by finite partial function graphs along with some simplifying assumptions which are iteratively refined.Here we present an outline of the GMF approach, give an improvementthat addresses some of these and then present someideas for extending it with concepts from instantiation based theorem proving.

MODEL FINDING IN SEMANTICALLY GUIDED INSTANCE-BASED THEOREM PROVING

1994 ◽  
Vol 21 (3) ◽  
pp. 221-235 ◽  
Author(s):  
Heng Chu ◽  
David A. Plaisted
Keyword(s):  
Theorem Proving ◽  
Model Finding

scholarly journals The Thousands of Models for Theorem Provers (TMTP) Model Library - First Steps

10.29007/7dg5 ◽  
2018 ◽  
Author(s):  
Geoff Sutcliffe ◽  
Stephan Schulz
Keyword(s):  
Theorem Proving ◽  
Automated Theorem Proving ◽  
Theorem Provers ◽  
Model Library ◽  
Problems And Solutions ◽  
Model Finding ◽  
Problem Library

The TPTP World is a well established infrastructure that supports research,development, and deployment of Automated Theorem Proving (ATP) systems forclassical logics.The TPTP world includes the TPTP problem library, the TSTP solution library,standards for writing ATP problems and reporting ATP solutions, and itprovides tools and services for processing ATP problems and solutions.This work describes a new component of the TPTP world - the Thousands ofModels for Theorem Provers (TMTP) Model Library.This is a library of models for identified axiomatizations built fromaxiom sets in the TPTP problem library, along with functions for efficientlyevaluating formulae wrt models, and tools for examining and processingthe models.The TMTP supports the development of semantically guided theorem provingATP systems, provide examples for developers of model finding ATP systems,and provides insights into the semantics of axiomatizations.

scholarly journals Conflicts, Models and Heuristics for Quantifier Instantiation in SMT

10.29007/jmd3 ◽  
2018 ◽  
Author(s):  
Andrew Reynolds
Keyword(s):  
Formal Methods ◽  
Theorem Proving ◽  
Automated Theorem Proving ◽  
Software Verification ◽  
Satisfiability Modulo Theories ◽  
Smt Solvers ◽  
Recent Advances ◽  
Common Technique ◽  
Quantifier Instantiation ◽  
Future Work

Satisfiability Modulo Theories (SMT) solvers have emerged as prominent tools in formal methods applications. While originally targeted towards quantifier-free inputs, SMT solvers are now often used for handling quantified formulas in automated theorem proving and software verification applications. The most common technique for handling quantified formulas in modern SMT solvers in quantifier instantiation. This paper gives an overview of recent advances in quantifier instantiation in SMT. In addition to the well-known technique known as E-matching, we discuss the use of conflicts and models for accelerating the search for (un)satisfiably. We further mention new instantiation-based techniques that are specialized to background theories such as linear real and integer arithmetic, and future work in this direction.

Quantifier Instantiation Techniques for Finite Model Finding in SMT

2013 ◽  
pp. 377-391 ◽  
Author(s):  
Andrew Reynolds ◽  
Cesare Tinelli ◽  
Amit Goel ◽  
Sava Krstić ◽  
Morgan Deters ◽  
...  
Keyword(s):  
Finite Model ◽  
Model Finding ◽  
Quantifier Instantiation

Der Wald-Wild-Konflikt – was kann die Forstökonomie zur Lösung beitragen? (Essay)

2017 ◽  
Vol 168 (4) ◽  
pp. 181-185
Author(s):  
Marc Hanewinkel
Keyword(s):  
Forest Economics ◽  
Production Risk ◽  
Damage Compensation ◽  
Land Expectation Value ◽  
Compensation Methods ◽  
The Future ◽  
Single Tree Selection ◽  
Simplifying Assumptions ◽  
Forest Enterprises

The forest-game conflict – how can forest economics contribute to solve it? (Essay) Core parameters of forest economics such as land expectation value or highest revenue show that damage caused by wild ungulates can critically influence the economic success of forest enterprises. When assessing and evaluating the damage in order to calculate damage compensation, methods are applied in Germany that look either into the past (“cost value methods”) or into the future (“expected value methods”). The manifold uncertainties related to this evaluation over long-term production periods are taken into account within a framework of conventions through strongly simplifying assumptions. Only lately, the increased production risk due to game-induced loss of species diversity is also considered. Additional aspects that should be taken into account in the future are the loss of climate-adapted species, the change of the insurance values of forest ecosystems and the impossibility of specific management systems such as single-tree selection forestry due to the influence of game. Because of high transaction costs when assessing the damage, financial compensation should only be the “ultimate measure” and a meditation between stakeholder groups with the goal to find a cooperative solution before the damage occurs should be preferred.

Modal Theorem Proving,

1986 ◽  
Author(s):  
Martin Abadi ◽  
Zohar Manna
Keyword(s):  
Theorem Proving

Theoretical Principles of Streaming Current Detection

1989 ◽  
Vol 21 (6-7) ◽  
pp. 443-453 ◽  
Author(s):  
S. K. Dentel ◽  
K. M. Kingery
Keyword(s):  
Velocity Profile ◽  
Electrophoretic Mobility ◽  
Double Layer ◽  
Initial Attempt ◽  
Streaming Current ◽  
Coagulant Dosage ◽  
Model Predictions ◽  
Double Layer Model ◽  
Simplifying Assumptions ◽  
Current Detection

In spite of the increased use of streaming current detectors (SCDs) as a means of monitoring and/or controlling coagulant dosage, knowledge regarding fundamental workings is incomplete. This paper provides an initial attempt at predicting and verifying functioning compared to electrophoretic mobility. The instrument's components -- the sensor and the signal processor -- are first described. Equations modelling electro-double layer behavior in its sensor are then developed. Simplifying assumptions include the use of a capacitance model of the double layer and a triangular velocity profile for fluid within the sensor's annulus. More complex modelling approaches are also suggested which incorporate the Gouy-Chapman electro-double layer model and an exact solution for the velocity profile. Experimental results confirm predictions of the simplified model under conditions of low potential. A monotonic relationship exists between streaming current electrophoretic mobility, which is required for its use as a control parameter. Deviations from model predictions are suggested to be due to charge characteristics of the sensor surfaces themselves.

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