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- ...|date=November 2022 |title=Analysis and Transformation of Constrained Horn Clauses for Program Verification |journal=Theory and Practice of Logic Programming The satisfiability of constrained Horn clauses with constraints from linear integer arithmetic is [[Undecidable problem|un ...6 KB (795 words) - 22:58, 7 November 2024
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- ...oolean variables in ''S'' that are set to 1 under the restriction that all clauses are satisfied, and the ''Min Ones problem'' is to minimize this number.<ref ...is the AND of several boolean linear equations that can be written as XOR clauses. Exactly one literal in each XOR clause must be negated (e.g. <math>x_1 \op ...7 KB (1,118 words) - 06:24, 4 August 2022
- ...in [[Kripke semantics]], a formula in this normal form is a conjunction of clauses labelled by the modal level (i.e., the number of nested modalities). Each m ...e three forms are also called ''cpl''-clauses, ''box''-clauses and ''dia''-clauses respectively.<ref>{{cite conference |url=https://link.springer.com/chapter/ ...3 KB (491 words) - 18:34, 15 April 2024
- ...]] relation between two [[First-order logic|first-order]] [[Clause (logic)|clauses]] that guarantees that one clause logically [[Entailment|entails]] the othe ...is still true when restricting the setting to pairs of [[Horn clause|Horn clauses]].{{sfn|Kietz|Lübbe|1994}} ...6 KB (780 words) - 09:47, 16 July 2024
- ...lauses that can be satisfied by a truth assignment to the variables in the clauses. ...ll satisfy at least an ''α''-fraction of the maximum number of satisfiable clauses of ''φ''. ...10 KB (1,535 words) - 22:11, 17 April 2024
- # clauses application 'as if' data, calcul of the 'as if' historical reinsurance inde === Clauses === ...4 KB (655 words) - 13:04, 29 January 2025
- ...undancy | global redundancy]] stemming from multiple resolutions with unit clauses. The algorithm takes its name from the fact that, when this rewriting is do ...at the bottom of the proof resolves <math>\kappa^{\prime}</math> with the clauses of (some of) the collected unit nodes, in order to obtain a proof of <math> ...6 KB (864 words) - 11:02, 21 October 2020
- ...ore processing, as the operation of counting free variables in unsatisfied clauses dominates the run-time. ...found clauses in favor of variables with a greater presence in more recent clauses. VSIDS will select the variable phase with the highest score to determine w ...11 KB (1,698 words) - 04:59, 19 November 2024
- ...|date=November 2022 |title=Analysis and Transformation of Constrained Horn Clauses for Program Verification |journal=Theory and Practice of Logic Programming The satisfiability of constrained Horn clauses with constraints from linear integer arithmetic is [[Undecidable problem|un ...6 KB (795 words) - 22:58, 7 November 2024
- ...Certain proof nodes can be replaced with the nodes representing these unit clauses. The algorithm first iterates over all non leaf unit clauses and then over all non ancestor nodes of the proof. If the node's pivot elem ...8 KB (1,205 words) - 04:12, 24 January 2024
- ...in the UK. Similar provisions for US securities may be known as make whole clauses.<ref>''[https://wiki.treasurers.org/wiki/Make_whole_clause]''wiki.treasurer ==Spens clauses in the context of Solvency II Matching Adjustment eligibility== ...7 KB (1,161 words) - 16:23, 23 January 2025
- ...blem consists of a collection of [[Boolean variable]]s and a collection of clauses, each of which combines three variables or negations of variables. However, ...>s</math> to every clause, then NAE4SAT is reduced to NAE3SAT by splitting clauses as in the reduction of general <math>k</math>-satisfiability to 3SAT. ...5 KB (734 words) - 01:53, 13 February 2025
- ...n (logic)|resolution]] proof of a clause <math>\kappa</math> from a set of clauses ''C'' is a [[directed acyclic graph]] (DAG): the input nodes are [[axiom]] ...on proof for the clause <math>\left\{ a,b,c\right\}</math> from the set of clauses ...6 KB (909 words) - 00:22, 13 February 2024
- ...use contains three distinct literals and we want to maximize the number of clauses satisfied.<ref name="d">{{cite web|first1=Erik|last1=Demaine|date=Fall 2014 ...random assignment of variables gives an expected 7/8 fraction of satisfied clauses. ...8 KB (1,409 words) - 08:35, 12 April 2022
- ...variables per clause and <math>t</math> is the maximum number of different clauses that any variable can appear in. If the variables are assigned to be true o ...</math>, and then recursively calls the same subroutine on all unsatisfied clauses (possibly including <math>C</math> itself) that share a variable {{nowrap|w ...10 KB (1,491 words) - 08:22, 27 December 2024
- ...erals, and <math>\lnot A \lor \lnot C</math> and <math>B \lor C</math> are clauses. ...the formula. But in realistic applications with millions of variables and clauses brute force search is impractical. The responsibility of a SAT solver is to ...16 KB (2,477 words) - 05:33, 20 February 2025
- ...of a monotone function expresses the function as a conjunction ("and") of clauses, each of which is a disjunction ("or") of some of the variables. A clause m ...m of a monotone function expresses the function as a disjunction ("or") of clauses, each of which is a conjunction ("and") of variables. A conjunction may app ...24 KB (3,604 words) - 00:42, 6 January 2024
- ...a given Boolean formula—whose incidence graph consisting of variables and clauses can be [[graph embedding|embedded]] on a [[plane (geometry)|plane]]—can be ...is a subset of 3SAT in which the [[incidence graph]] of the variables and clauses of a [[Boolean logic|Boolean]] [[Formula (mathematical logic)|formula]] is ...16 KB (2,403 words) - 22:39, 25 March 2024
- ...tely describe the relationship between the three variables. Conjoining the clauses from all the gates with an additional clause constraining the circuit's out ...9 KB (1,384 words) - 07:50, 30 April 2024
- ...riable ''X<sub>i</sub>'' appearing in at most <math>\frac{2^k}{ke} </math> clauses. Then, Φ is satisfiable. Since each variable can appear in at most <math> \frac{2^k}{ke}</math> clauses and there are ''k'' variables in each clause, each bad event ''A<sub>j</sub ...15 KB (2,467 words) - 17:05, 18 February 2025
- ...underinsurance trap, New Zealand has legislation to ban the use of average clauses for dwelling houses.<ref name="NZIRA15">{{cite book |last= New Zealand Parl The history of average clauses began with cargo insurance. Here, if a proportion of a cargo had to be thro ...10 KB (1,456 words) - 19:49, 14 July 2024