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Well-formed
Well-formed formula, a string that is generated by a formal grammar in logic Well-formed element, web design element that is properly designed and ordered Well-formed document, XML document that adheres to the syntax rules of the XML 1.0 specification Well-formed Petri net, a Petri net class Well-formed wikipedia.org
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well-formed
well-formed, ppl. a. a. of persons and material things.c 1520 W. Walter Guystarde & Syg. (Roxb.) A iij, Of shape and persone she was well fourmed. a 1586 Sidney Arcadia iii. (1922) 58 The kissing of her welformed mouth. 1645 Waller Poems, Palamede to Zelinde 1 Fairest piece of well form'd earth, Vrg... Oxford English Dictionary
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What does it mean to have a well-formed conscience?
A good conscience makes judgments that conform to reason and the good that is willed by the Wisdom of God. A good conscience requires lifelong formation. Each baptized follower of Christ is obliged to form his or her conscience according to objective moral standards. The Word of God is a principal tool in the formation of conscience when it is ...
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Well-formed document
Requirements At its base level well-formed documents require that: Content be defined. Ideally, a well-formed document conforms to the design goals of XML. wikipedia.org
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If a well-formed formula is equal to another well-formed formula, does that mean their variables are equal too? For example, if I set $\to p_{1}q_{1} = \to p_{2}q_{2}$, does that mean $p_{1}=p_{2}$ and $q_{1}=q_{2}$?
Equal formulas have equal "operator" and equal "operands"
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Well-formed element
In a well-formed document, all elements are well-formed, and a single element, known as the root element, contains all of the other elements in the For example, the code below is not well-formed HTML, because the em and strong elements overlap: <!-- WRONG! NOT well-formed HTML! wikipedia.org
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What is the difference between well-defined and well-formed? Well-defined and well-formed seem like pretty much the same concepts. I did read through the Wikipedia pages on both subjects. Can you elaborate on how they...
Well-defined is a property of _functions_ ; well-formed is a property of _logical propositions_. This function is not well defined: $$ f(a/b)=a+b. $$ This proposition is not well-formed: $$ PQ\land. $$ (EDIT: It actually is well-formed if you use reverse
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Well-formed formula
The expression "well-formed formulas" (WFF) also crept into popular culture. Well-Formed Formula at ProvenMath Formal languages Metalogic Syntax (logic) Mathematical logic wikipedia.org
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substituting variables in well-formed formulas. Consider the well-formed formual below, What do you get by substituting t for x? $\forall x (p(x,y) \land \forall y(p(y,x) \rightarrow \exists x (p(x,z) \land q(z)))$ ...
Def of _substitution_ : > For atomic $α$, $α(t/x)$ is the expression obtained from $α$ by replacing the variable $x$ by $t$. > > $(¬α)(t/x)$ is $¬α(t/x)$ > > ... > > $(∀y \ α) (t/x)$ is $∀y \ α$, if $x=y$, and $∀y \ α(t/x)$, if $x \ne y$ (and the same for $\exists$). Thus, in order to know: > What d...
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Well-formed Petri net
Well-formed Petri nets are a Petri net class jointly elaborated between the University of Paris 6 (Université P. & M. Chiola, Characterization of timed well-formed Petri nets behavior by means of occurrence equations. wikipedia.org
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Q: (Logics) If well-formed formula $q , \not\vDash q \text{, then } \vDash \lnot q$ If well-formed formula without free variables $q , \not\vDash q \text{, then }\vDash \lnot q$. Is it true?
$\not\models q$ is equivalent to "$q$ isn't a tautology," or "In _some_ interpretations, $q$ _may_ not true". $\models \neg q$ is equivalent to "$q$ is a contradiction," or "In _all_ interpretations, $q$ _can_ not true."
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Show that the following well-formed formula is not correct over the domain of integers? How do I solve this? The answer is the well-formed formula is incorrect when $x = -1$ and $y = -1$. Can someone explain to me why...
`{True} If x 0}` is a Hoare triple, in which `{True}` is the _precondition_ , `{y>0}` is the _postcondition_ , and `If x 0`.
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Placement new + reinterpret_cast in C++14: well-formed?
Oct 30, 2023When we reinterpret_cast<T*> (data), we are using a pointer ( data) that points to expired data, since it has been replaced by the new object. There is no guarantee that the data pointer is "updated" to point to the newly-created object. In C++14, the only way to do this legally is by accessing the object T via the pointer returned by placement ...
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Conjunction of Clauses and Well-Formed Formulas Here is a theorem in my notes: > If $\phi$ is any wff such that $\neg \phi$ is not a tautology, then $\phi$ is tautologically equivalent to a conjunction of clauses. M...
_Short answer._ Yes, it does. _Long answer._ The statement: > If $\varphi$ is any wff such that $\varphi$ is not a tautology, then $\lnot \varphi$ is tautologically equivalent to a conjunction of clauses. is a corollary of the theorem stated in your question. Indeed, if $\varphi$ is any wff such tha...
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Proving a chain of well-formed formulas in metalogic Suppose we have a set of assumptions $\Delta$ and can show that $\Delta \vdash A$, and then $A \vdash B$. Are we then able to say $\Delta \vdash B$? If so what le...
Precise details of how you glue them together to get another well formed proof will depend on the deductive system.
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