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Signatory Period Overlap Tool

Inspect explicit appointment and authorization intervals only; no legal authority is inferred.

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Description

Return overlap of appointment and authorization periods.

Administrative records encode delegated authority, invoice lines, reimbursement bases and supplied policy limits. Literal matches and amount allocations can reconcile asserted records while actual authority, eligibility, rights and accounting treatment depend on verified documents and applicable rules.

Return overlap of appointment and authorization periods.

When to use this tool

Use Signatory Period Overlap when checking the stated administrative authority, invoice or expense convention.

How to use the tool and how it works

  1. Enter appointmentStart, appointmentEnd, authorizationStart, authorizationEnd, eventAt, includeEnd. Use the units and conventions below.
  2. Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
  3. Read overlapDuration, eventInBoth. Inspect eventInBoth before interpreting the associated values.

Return overlap of appointment and authorization periods. Require each period ordered; overlapDuration = max(0,min(ends)-max(starts)), eventInBoth uses inclusive start and chosen end inclusion on their common interval.1

Input fieldMeaning and unitsAccepted input
appointmentStartAppointment StartRequired. Finite number.
appointmentEndAppointment EndRequired. Finite number.
authorizationStartAuthorization StartRequired. Finite number.
authorizationEndAuthorization EndRequired. Finite number.
eventAtEvent AtRequired. Finite number.
includeEndInclude EndRequired. Boolean.
Output fieldInterpretationReturned shape
overlapDurationOverlap DurationRequired. Finite number.
eventInBothWith includeEnd, an event at a shared touching endpoint can be in both intervals although overlapDuration is zero.Required. Boolean.
json
{
  "input": {
    "appointmentStart": 0,
    "appointmentEnd": 10,
    "authorizationStart": 5,
    "authorizationEnd": 15,
    "eventAt": 7,
    "includeEnd": false
  },
  "output": {
    "overlapDuration": 5,
    "eventInBoth": true
  }
}

Limitations and assumptions

  • Touching closed intervals can contain one event with zero duration; this does not establish identity, signing power or legal authority.
  • Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
  • Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.

Alternative or Complementary methods

Review the governing policy, authorization and financial records; involve the appropriate administrative, financial or legal professional for actual rights and payment decisions.

References

  1. Calculation and input contract: business-administration/signatory-period-overlap — tool.io

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